(2) Notes radicals: Simplify radical expressions: rules to know

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An expression containing square roots is in simplest form when — E"ytVf!f VALUp")^ T^gAtKAClLS]^

• the radicand has no perfect square factors other than 1. / S n

• the radicand has no fractions. hfluJu'C OLTv.cL ' J • there are no square roots in any denominator. *3 Simplifying radicals:

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L/s/ng the Quotient Property of Square Roots:( rationalizina the denominator, or removing the radical from the denominator)

A quotient with a square root in the denominator is not simplified. To simplify these expressions, multiply by a form ofl to get a perfect-square radicand in the denominatgjuJhis is called rationalizing the denominator. 0^

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